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Finding the Third Proportional to 127,315 and 276,525

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Solution

The third proportional to 127,315 and 276,525 is: 600,605.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,315 : 276,525 = 276,525 : x
  2. Step 2: Convert to fraction form
    127,315/276,525 = 276,525/x
  3. Step 3: Cross multiply
    127,315x = 276,525 × 276,525
  4. Step 4: Simplify right side
    127,315x = 76,466,075,625
  5. Step 5: Solve for x
    x = 76,466,075,625/127,315
  6. Step 6: Final answer
    x = 600,605.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.